Bipartite OTOC in open quantum systems: information scrambling and irreversibility

TL;DR

This paper investigates how information scrambling and irreversibility manifest in open quantum systems using bipartite OTOC, revealing their relationship and equivalence with operator entanglement in specific models.

Contribution

It introduces bipartite OTOC as a tool to analyze information scrambling in open quantum systems and establishes its connection with entropy production and operator entanglement.

Findings

Bipartite OTOC effectively probes information scrambling in open quantum systems.

A relationship between bipartite OTOC and entropy production is demonstrated.

Bipartite OTOC is shown to be equivalent to operator entanglement in the Ising model.

Abstract

The field of information scrambling has seen significant growth over the last decade, where the out-of-time-ordered correlator (OTOC) has emerged as a prominent tool to probe it. In this work, we use bipartite OTOC, a particular form of OTOC, to study information scrambling in the atom-field interaction models and the model of the Ising spin chain interacting with a tilted magnetic field. This is done considering the effects of open quantum systems. A relationship between information scrambling, using bipartite OTOC, and irreversibility, using entropy production, is probed under unitary dynamics. The equivalence of bipartite OTOC with operator entanglement is explicitly shown for the Ising model.